hawt
TRANSCRIPT
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DESIGN AND ANALYSIS OF
HORIZONTAL AXIS WIND TURBINE
GUIDED BY:Prof. Dr. B. S. GAWALI
SEMINAR BY:SAGAR S. MOREROLL NO.-13
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INTRODUCTION
Wind turbines are reneab!e ener"# de$i%es t&at %on$ert indener"# to e!e%tri%it# $ia 'e%&ani%a! ener"#
(o t#)es na'e!# &ori*onta! a+is ,AW( and $erti%a! a+is
,/AW( ind turbines.
/arious desi"n 'et&ods $i*. Mo'entu' (&eor# and B!ade
E!e'ent (&eor#
0D %an be used as ana!#sis too!
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WHY HORZONTAL AXIS WIND
TURBINE??
1. (&e rotor so!idit# of an AW( ,and &en%e tota! b!ade 'ass re!ati$e
to se)t area is !oer &en t&e rotor a+is is &ori*onta! ,at a "i$en
desi"n ti) s)eed ratio. (&is tends to 2ee) %osts !oer on a )er 2Wbasis.
. (&e a$era"e &ei"&t of t&e rotor se)t area %an be &i"&er abo$e t&e
"round. (&is tends to in%rease )rodu%ti$it# on a )er 2W basis.
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PRESENT THEORIES ANDPRACTICES:
Blade Element Theory
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OBJECTIVES
(o desi"n b!ade of &ori*onta! a+is ind turbine
,AW(.
Manufa%ture WA( b!ade
Insta!!ation of e+)eri'enta! setu) and %arr# out
e+)eri'entation.
/a!idation of 0D resu!ts usin" e+)eri'entation
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PROPOSED WORK
Literature sur$e#
(&eoreti%a! stud# of &ori*onta! a+is ind turbine b!ade desi"n
'et&ods.
B!ade desi"n %a!%u!ations.
Manufa%turin" of AW(
E+)eri'enta! stud# of AW(.
0D si'u!ation of AW(.
0&e%2 $a!idit# of 0D si'u!ation resu!t it& e+)eri'enta!resu!ts.
Re)ort ritin".
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FORCES ON AIRFOIL
The resultant aerodynamic force acts at theCenter of Pressure c!"!#$ a%out &hich the
moment is 'ero!
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AIRFOIL NOMENCLATURE
(ean cam%er line: locus of points halfway between uppersurface and lower surface
Chord line: line joining leading edge & trailing edge
Chord: distance between leading edge & trailing edgeThic)ness: distance between upper & lower surface measuredperpendicular to chord
Cam%er: maximum distance between mean camber line andchord
At leading edge circular shape with radius 0.02c
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4 dii! "#$i#" %i$&'i(:
1 st digit4 'a+ %a'ber in 155 t& of %&ord
2 nd digit4 !o%ation of 'a+ %a'ber a!on" t&e %&ord fro' !eadin" ed"e in 15
t& of %&ord
Last two digits: 'a+ t&i%2ness in 155 t& of %&ord
E". Airfoi! 6617 'eans8
Ma+i'u' %a'ber is 5.56%8 at distan%e 5.6% fro' !eadin" ed"e and
'a+i'u' t&i%2ness is 5.17%
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O)#*di+#)"i')%( M'+#)!,+ T-#'$. %)d !-#
B#!/ Li+i!
In order to %a!%u!ate t&e 'a+i'u' t&eoreti%a! effi%ien%# of a t&in rotor one i'a"ines it to be
re)!a%ed b# a dis% t&at it&dras ener"# fro' t&e f!uid )assin" t&rou"& it. At a %ertain
distan%e be&ind t&is dis% t&e f!uid t&at &as )assed t&rou"& f!os it& a redu%ed $e!o%it#.
Fig. Actuator disc model of a wind turbine; ! mean air "elocity; #! 2! $! and %indicate locations
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Fig. An energy extracting actuator disc and streamtube
A"",+0!i')":o'o"enous8 in%o')ressib!e8 stead# state f!uid f!o9
. No fri%tiona! dra"9. An infinite nu'ber of b!ades9. :nifor' t&rust o$er t&e dis% or rotor area9. A non;rotatin" a2e9. (&e stati% )ressure far u)strea' and far donstrea' of t&e rotor is e
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Applying the conser"ation of linear momentum to the control "olume enclosing the whole
system! one can *nd the net force on the contents of the control "olume. thrust is e+ual and opposite to the rate of change of momentum of the air stream
,ernoulli function can be used in the two control "olumes on either side ofthe actuator disc. -n the stream tube upstream of the disc:
#
2
$
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-n the stream tube downstream of the disc
it is assumed that the far upstream and far downstream pressures are e+ual'p#( p%)and that the "elocity across the disc remains the same '2( $).he thrust can also be expressed as the net sum of the forces on each side ofthe actuator disc:
-f one sol"es for 'p2 p$) using /+uations '$) and '%) and substitutes thatinto/+uation ')! one obtains
/+uating the thrust "alues from /+uations '2) and '1) and recogniing thatthe mass 3owrate is also ! one obtains:
hus! the wind "elocity at the rotor plane! using this simple model! is thea"erage of the
%
1
4
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-f one de*nes the axial induction factor! a! as the fractional decrease in wind "elocity betweenthe free stream and the rotor plane! then
+uantity #a is often referred to as the induced "elocity at therotor
he power out! 5! is e+ual to the thrust times the "elocity at the disc
6ubstituting for 2 and % from /+uations '7) and '#0) gi"es:
where the control "olume area at the rotor! A2! is replaced by A! the rotor
area! and the freestream "elocity # is replaced by .
8
7
#0
##
#2
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9ind turbine rotor performance is usually characteried by its power coecient!5:
he maximum 5is determined by ta
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-n practice! three e>ects lead to a decrease in the maximum achie"ablepower coecient:rotation of the wa
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Id#%( H'$i/')!%( A1i" Wi)d T,$2i)# 3i!- W%#
R'!%!i')
In t&e %ase of a rotatin" ind turbine rotor8 t&e f!o be&ind t&e rotor rotates in t&e o))osite
dire%tion to t&e rotor8 in rea%tion to t&e tor
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i". Geo'etr# for rotor ana!#sis9 :8 $e!o%it# of undisturbed air9 a8 indu%tion fa%tor9 r8 radius
(&e "eneration of rotationa! 2ineti% ener"# in t&e a2e resu!ts in !ess ener"# e+tra%tion b# t&e
rotor t&an ou!d be e+)e%ted it&out a2e rotation
If it is assu'ed t&at t&e an"u!ar $e!o%it# i')arted to t&e f!o strea'8 =8 is s'a!! %o')ared to
t&e an"u!ar $e!o%it#8>8 of t&e ind turbine rotor8 t&en it %an a!so be assu'ed t&at t&e )ressure in
t&e far a2e is e
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6o for a small element the corresponding tor+ue will be
For the rotating annular element
@e*ne angular induction factor a:
V2 =V(1a) so:
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B(%d# E(#+#)! M'+#)!,+ T-#'$.
B!ade e!e'ent 'o'entu' t&eor# is de$e!o)ed b# %o'bination of 'o'entu'
t&eor# and b!ade e!e'ent t&eor#
56 M'+#)!,+ T-#'$.
i. A+ia! or%e
ii. Rotatin" Annu!ar Strea' tube
76 B(%d# E(#+#)! T-#'$.
i. Re!ati$e !o
ii. B!ade E!e'ents
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M'+#)!,+ T-#'$.
Figure : Axial 6tream tube around a 9ind urbine
A*ial+orce
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Rotatin, Annular Streamtu%e
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Figure %: he ,lade /lement odel
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Relati-e+lo&
he a"erage rotational 3ow o"er the blade due to wa
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local tip speed ratio Br is defned as:
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B!ade E!e'ents
where dL and dD are the lit and drag orces on the blade elementrespectivel! dL and dD can be o"nd rom the defnition o the lit and dragcoe#cients as follows:
-f there are $ blades%
he or+ue on an element! d& is simpl the tangential orce m"ltiplied b theradius.
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where C is called the local solidity and is defined as
Ti0 L'"" C'$$#8!i')
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Airfoils commonly used in wind turbine blades are DAA %%xx and DAA
2$0xx series due to maximum lift coecients! low pitching moment! andminimum drag. For the present study! DAA %%#8 airfoil section has beenused. he aerodynamic characteristic of DAA %%#8 is gi"en below:
aximum lift coecient Emaxof .!/0/which corresponds to criticalangle of attac< 'stall point) of #
Gerolift angle of attac< of %
aximum lift to drag ratio or glide ratio 'E = @)max of 11!11/whichcorresponds to angle of attac< of 1. and lift coecient of #.207 'whereEis the lift coecient and @is the drag coecient)
he blade was twisted in such a way that angle of attac< remains
constant at all sections. he angle of attac< of the blade at each sectioncorresponds to a maximum "alue of 'E= @). he angle of attacerent chord lengths werecalculated by multiplying coordinates
in per cent of chord by chord length.2B36 2A34c9here c is chord length calculatedfrom ,/ method
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i". hese coordinates are translated by distance 0.2Ic in xdirection so that origin is at aerodynamic center of airfoil.
0.2Ic 0 00.2cI 0 0
JK(J,K . . .. . .. . .0.2Ic 0 0
". Final coordinates with calculated twist angle were obtainedby multiplying coordinates with rotation matrix.
cos'L) sin'L) 0J@K(JK I sin'L) cos'L) 0
0 0 #9here L is twist angle for that airfoil.
"i. hen using acro commands in icrosoft excel andgenerati"e shape design feature of catia! blade geometry wasgenerated automatically in atia.
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"o&er out"ut Estimation
M(280 mm(0.28 m
rh($0 mm( 0.0$ m
5ower deli"ered by wind '5w);
-deal the power output of the wind turbine in watts '5i)
considering ,et limit;
5i(0.727I5w
he power output of the wind turbine in watts '5) is gi"en by;
Assuming p (0.$
5(0.$I5w
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7ra"h of "o&er 8s &ind-elocity
# 2 $ % 1 4 8 7 #0
0.000
20.000
%0.000
10.000
80.000
#00.000
#20.000
#%0.000
#10.000
59
5i
5
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B9ADE
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@-/
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F@ 6-EA-?D
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W A !i i! J ( A S O ! N D J F 2 M A M J
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W'$ A8!ii!. J,(. A, S#0 O8! N' D#8 J%) F#2 M%$ A0$ M%. J,)#
Prob!e' Identifi%ation
Literature sur$e#Sur$e#.
AW( B!ade desi"n %a!%u!ations
Manufa%turin" of AW(
E+)eri'enta! stud# of AW(
0D si'u!ation of AW(
/a!idation of 0D si'u!ationresu!t
Re)ort ritin"
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REFERENCES
1 . . Mane!!8 . G. M%Goan8 HWind ener"# E+)!ainedH8 se%ond edition8o&n Wi!e# and Sons8 511.
(on# Burton8 Ni%2 en2ins8 Da$id S&ar)e8 Er$in Bossan#i8 HWind Ener"#andboo2H8 se%ond edition.
3 o2i is&ina'ia8 iros&i (ani"u%&ib8 un Su*u2ia8 iros&i Ibano%8
(a2as&i a*unoud8 Masato (uru&a'ie8 H(&eoreti%a! and e+)eri'enta!stud# on t&e aerod#na'i% %&ara%teristi%s of a &ori*onta! a+is ind turbineH8 Ener"#8 55
6 M. eert&ana8 M. Srira'2ris&nan8(. /e!a#ut&a'8 A. Abra&a'8 S. Se!$iRaJan8 . M. Para''asi$a' HAerod#na'i% ana!#sis of a s'a!! &ori*onta!a+is ind turbine usin" 0DH8Journal of wind and engineering, vol. 9,No.2,july 2012,pp 1!2"
ei-Bin siao8 0&i-en" Bai and Wen-(on" 0&on"KK8 H(&e Perfor'an%e(est of (&ree Different ori*onta! A+is Wind (urbine ,AW( B!adeS&a)es :sin" E+)eri'enta! And Nu'eri%a! Met&odsH 8#nergies 5138 $8C76-753